SSC Selection Post 2022 PYQ — Question 72

SSC Selection Post - Higher Secondary Level - 09 Feb 2022 - Shift 2 • Quantitative Aptitude • Q72

P can cover a certain distance in 4 hours 40 minutes by covering two-thirds of the distance at 4 km/h and the remaining distance at 5 km/h. 25% of the total distance (in km) covered by P is:

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 5. 

Total time = 4 hr 40 min = 14314\over3 hr

Let distance = D

According to the question,

⇒ 2D3×4+D3×5=143{{2D\over 3\times4}}+{D\over 3\times5} = {14\over3}

⇒ D6+D15=143{{D\over 6}}+{D\over 15} = {14\over3}

⇒​​​​​​​ 7D30=143{7D\over 30}= {14\over3}

⇒​​​​​​​ D = 20

⇒​​​​​​​ 25% of 20 = 5 km